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</table></div><div></div></div></div></div><div class="t-navbar-sep"> </div><div class="t-navbar-head"><strong class="selflink">数学特殊函数</strong><div class="t-navbar-menu"><div><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv-col-table"><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/assoc_laguerre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/assoc laguerre（页面不存在）"><span class="t-lines"><span>assoc_laguerre</span><span>assoc_laguerref</span><span>assoc_laguerrel</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/assoc_legendre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/assoc legendre（页面不存在）"><span class="t-lines"><span>assoc_legendre</span><span>assoc_legendref</span><span>assoc_legendrel</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/beta&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/beta（页面不存在）"><span class="t-lines"><span>beta</span><span>betaf</span><span>betal</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_1&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 1（页面不存在）"><span class="t-lines"><span>comp_ellint_1</span><span>comp_ellint_1f</span><span>comp_ellint_1l</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_2&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 2（页面不存在）"><span class="t-lines"><span>comp_ellint_2</span><span>comp_ellint_2f</span><span>comp_ellint_2l</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_3&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 3（页面不存在）"><span class="t-lines"><span>comp_ellint_3</span><span>comp_ellint_3f</span><span>comp_ellint_3l</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_i&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel i（页面不存在）"><span class="t-lines"><span>cyl_bessel_i</span><span>cyl_bessel_if</span><span>cyl_bessel_il</span></span></a></div></div></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_j&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel j（页面不存在）"><span class="t-lines"><span>cyl_bessel_j</span><span>cyl_bessel_jf</span><span>cyl_bessel_jl</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_k&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel k（页面不存在）"><span class="t-lines"><span>cyl_bessel_k</span><span>cyl_bessel_kf</span><span>cyl_bessel_kl</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_neumann&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl neumann（页面不存在）"><span class="t-lines"><span>cyl_neumann</span><span>cyl_neumannf</span><span>cyl_neumannl</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_1&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/ellint 1（页面不存在）"><span class="t-lines"><span>ellint_1</span><span>ellint_1f</span><span>ellint_1l</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_2&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/ellint 2（页面不存在）"><span class="t-lines"><span>ellint_2</span><span>ellint_2f</span><span>ellint_2l</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_3&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/ellint 3（页面不存在）"><span class="t-lines"><span>ellint_3</span><span>ellint_3f</span><span>ellint_3l</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/expint&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/expint（页面不存在）"><span class="t-lines"><span>expint</span><span>expintf</span><span>expintl</span></span></a></div></div></td></tr>
</table></div></td><td><div><table class="t-nv-begin" cellpadding="0" style="">
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/hermite&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/hermite（页面不存在）"><span class="t-lines"><span>hermite</span><span>hermitef</span><span>hermitel</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/laguerre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/laguerre（页面不存在）"><span class="t-lines"><span>laguerre</span><span>laguerref</span><span>laguerrel</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/legendre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/legendre（页面不存在）"><span class="t-lines"><span>legendre</span><span>legendref</span><span>legendrel</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/riemann_zeta&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/riemann zeta（页面不存在）"><span class="t-lines"><span>riemann_zeta</span><span>riemann_zetaf</span><span>riemann_zetal</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_bessel&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/sph bessel（页面不存在）"><span class="t-lines"><span>sph_bessel</span><span>sph_besself</span><span>sph_bessell</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_legendre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/sph legendre（页面不存在）"><span class="t-lines"><span>sph_legendre</span><span>sph_legendref</span><span>sph_legendrel</span></span></a></div></div></td></tr>
<tr class="t-nv"><td colspan="5"><div class="t-nv-ln-table"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_neumann&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/sph neumann（页面不存在）"><span class="t-lines"><span>sph_neumann</span><span>sph_neumannf</span><span>sph_neumannl</span></span></a></div></div></td></tr>
</table></div></td></tr>
</table></div><div></div></div></div></div><div class="t-navbar-sep"> </div></div>
<p>数学特殊函数库 (The Mathematical Special Functions library) ， ISO/IEC 29124:2010 ，指定对于 C++ 标准库的扩展，它包含数学特殊函数（原为 ISO/IEC TR 19768:2007 的一部分）。
</p><p>此库中的特殊函数实现于 <a rel="nofollow" class="external text" href="http://www.boost.org/doc/libs/release/libs/math/doc/html/special.html">boost.math</a> ，当前可用它们的编译器和平台多于可用此标准的实现者。在写此内容时，宣称直接支持的编译器唯有 gcc ，版本 6.1 。
</p>
<h3><span class="mw-headline" id=".E5.87.BD.E6.95.B0">函数</span></h3>
<table class="t-dsc-begin">

<tr class="t-dsc-header">
<td colspan="2"> <div>定义于头文件 <code>&lt;cmath&gt;</code> </div>
</td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/assoc_laguerre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/assoc laguerre（页面不存在）"> <span class="t-lines"><span>assoc_laguerre</span><span>assoc_laguerref</span><span>assoc_laguerrel</span></span></a></div></div>
</td>
<td>  关联拉盖尔多项式 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/assoc_legendre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/assoc legendre（页面不存在）"> <span class="t-lines"><span>assoc_legendre</span><span>assoc_legendref</span><span>assoc_legendrel</span></span></a></div></div>
</td>
<td>  关联勒让德多项式 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/beta&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/beta（页面不存在）"> <span class="t-lines"><span>beta</span><span>betaf</span><span>betal</span></span></a></div></div>
</td>
<td>   beta 函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_1&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 1（页面不存在）"> <span class="t-lines"><span>comp_ellint_1</span><span>comp_ellint_1f</span><span>comp_ellint_1l</span></span></a></div></div>
</td>
<td>  第一类完全椭圆积分 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_2&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 2（页面不存在）"> <span class="t-lines"><span>comp_ellint_2</span><span>comp_ellint_2f</span><span>comp_ellint_2l</span></span></a></div></div>
</td>
<td>  第二类完全椭圆积分 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_3&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 3（页面不存在）"> <span class="t-lines"><span>comp_ellint_3</span><span>comp_ellint_3f</span><span>comp_ellint_3l</span></span></a></div></div>
</td>
<td>  第三类完全椭圆积分 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_i&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel i（页面不存在）"> <span class="t-lines"><span>cyl_bessel_i</span><span>cyl_bessel_if</span><span>cyl_bessel_il</span></span></a></div></div>
</td>
<td>  常规修正柱贝塞尔函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_j&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel j（页面不存在）"> <span class="t-lines"><span>cyl_bessel_j</span><span>cyl_bessel_jf</span><span>cyl_bessel_jl</span></span></a></div></div>
</td>
<td>  第一类柱贝塞尔函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_k&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel k（页面不存在）"> <span class="t-lines"><span>cyl_bessel_k</span><span>cyl_bessel_kf</span><span>cyl_bessel_kl</span></span></a></div></div>
</td>
<td>  非常规修正柱贝塞尔函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_neumann&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/cyl neumann（页面不存在）"> <span class="t-lines"><span>cyl_neumann</span><span>cyl_neumannf</span><span>cyl_neumannl</span></span></a></div></div>
</td>
<td>  柱诺依曼函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_1&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/ellint 1（页面不存在）"> <span class="t-lines"><span>ellint_1</span><span>ellint_1f</span><span>ellint_1l</span></span></a></div></div>
</td>
<td>  第一类不完全椭圆积分 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_2&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/ellint 2（页面不存在）"> <span class="t-lines"><span>ellint_2</span><span>ellint_2f</span><span>ellint_2l</span></span></a></div></div>
</td>
<td>  第二类不完全椭圆积分 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_3&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/ellint 3（页面不存在）"> <span class="t-lines"><span>ellint_3</span><span>ellint_3f</span><span>ellint_3l</span></span></a></div></div>
</td>
<td>  第三类不完全椭圆积分 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/expint&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/expint（页面不存在）"> <span class="t-lines"><span>expint</span><span>expintf</span><span>expintl</span></span></a></div></div>
</td>
<td>  指数积分 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/hermite&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/hermite（页面不存在）"> <span class="t-lines"><span>hermite</span><span>hermitef</span><span>hermitel</span></span></a></div></div>
</td>
<td>  埃尔米特多项式 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/legendre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/legendre（页面不存在）"> <span class="t-lines"><span>legendre</span><span>legendref</span><span>legendrel</span></span></a></div></div>
</td>
<td>  勒让德多项式 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/laguerre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/laguerre（页面不存在）"> <span class="t-lines"><span>laguerre</span><span>laguerref</span><span>laguerrel</span></span></a></div></div>
</td>
<td>  拉盖尔多项式 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/riemann_zeta&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/riemann zeta（页面不存在）"> <span class="t-lines"><span>riemann_zeta</span><span>riemann_zetaf</span><span>riemann_zetal</span></span></a></div></div>
</td>
<td>  黎曼 zeta 函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_bessel&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/sph bessel（页面不存在）"> <span class="t-lines"><span>sph_bessel</span><span>sph_besself</span><span>sph_bessell</span></span></a></div></div>
</td>
<td>  第一类球贝塞尔函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_legendre&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/sph legendre（页面不存在）"> <span class="t-lines"><span>sph_legendre</span><span>sph_legendref</span><span>sph_legendrel</span></span></a></div></div>
</td>
<td>  球关联勒让德函数 <br> <span class="t-mark">(函数)</span> </td></tr>

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_neumann&amp;action=edit&amp;redlink=1" class="new" title="cpp/experimental/special functions/sph neumann（页面不存在）"> <span class="t-lines"><span>sph_neumann</span><span>sph_neumannf</span><span>sph_neumannl</span></span></a></div></div>
</td>
<td>  球诺依曼函数 <br> <span class="t-mark">(函数)</span> </td></tr>
</table>
<h3><span class="mw-headline" id=".E5.AE.8F">宏</span></h3>
<table class="t-dsc-begin">

<tr class="t-dsc">
<td>  <div class="t-dsc-member-div"><div><span class="t-lines"><span>__STDCPP_MATH_SPEC_FUNCS__</span></span></div></div>
</td>
<td>  至少为 <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="nu0">201003L</span></span></span> 的值，指示支持 ISO/IEC 29124:2010 <br> <span class="t-mark">(宏常量)</span>
</td></tr>
</table>

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